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Finding the Fourth Proportional to 2,765.41, 4,142.54 and 1,374.53

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Solution

The fourth proportional to 2,765.41, 4,142.54 and 1,374.53 is: 2,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.41 : 4,142.54 = 1,374.53 : x
  2. Step 2: Convert to fraction form
    2,765.41/4,142.54 = 1,374.53/x
  3. Step 3: Cross multiply
    2,765.41x = 4,142.54 × 1,374.53
  4. Step 4: Simplify right side
    2,765.41x = 5,694,028.23
  5. Step 5: Solve for x
    x = 5,694,028.23/2,765.41
  6. Step 6: Final answer
    x = 2,059.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.